Test: Factors & Multiples
20 Questions MCQ Test Mathematics for Class 5: NCERT | Test: Factors & Multiples
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Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 = 25
25 is the perfect square of 5. rest all options are not perfect squares of any natural number.
LCM = 2×3×5×2×3×5×4 = 3600
Factors of = 25 = 52 are 1, 5, 25 which can also be represented as: 52 = (2+1) = 3 (i.e.3 factors)
It is divisible by 8 & 3 because 8 and 3are co-prime
512×343 =
2×2×2×2×2×2×2×2×2×7×7×7=29 x 73
Determine the number nearest to 100000 but greater than 100000 which is exactly divisible by each of 8, 15 and 21?
Reminder= 40 84040=800 100000+800=100800
HCF of 81 and 135 = 27 HCF of 87 and 116 = 29 HCF of 43 and 73 = 1 HCF of 26 and 65 = 13 Hence, 43 and 73 are co-prime
1024=210=2n
⇒ (n+1) = (10+1) = 11.
Where (n+1) = no. of factors. Here factors will be 1, 2, 4, 8, 16?????.1024.
If the 8-digit number 136y5785 is divisible by 15, then find the least possible value of
136Y5785
For 15, No. should be divisible by 5, 3
No. is already divisible by 5 1 + 3 + 6 + 5 + 7 + 8 + 5 + y = 35 + y
∴y=1
Find the smallest number which when divided by 25, 40 and 60 leaves remainder 7 in each case?
5×4×5×2×3=600
Required numbers is 600+7=607
x, y, z, w are four odd natural numbers. Let u=x2+y2+z2+w2. Consider following statements
I. U is always divisible by 4
II. U is never divisible by 8
Q. Which of the above statements) is /are true?
2211/5025 , which reduced to its simplest form. By dividing the numerator and denominator
A boy saves Rs. 4.65 daily. Find the least number of days in which he will be to save an exact number (whole number) of rupees.
Rs. 4.65 = 465 paise
The exact number of rupees will be a multiple of 100
So, we have to fine the L.C.M. of 465 and 100
100 = 2*2*5*5
465 = 3*5*31
L.C.M. of 465 and 100 = 2*2*3*5*5*31
= 9300
So, the boy saves 9300 paise
Hence, least number of days required to save 9300 paise = 9300/465
= 20 days
H.C.F is always a factor of L.C.M. In this case 16 Divides 192 only.
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